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Finding the Fourth Proportional to 1,814.70, 2,502.92 and 1,256.11

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Solution

The fourth proportional to 1,814.70, 2,502.92 and 1,256.11 is: 1,732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.70 : 2,502.92 = 1,256.11 : x
  2. Step 2: Convert to fraction form
    1,814.70/2,502.92 = 1,256.11/x
  3. Step 3: Cross multiply
    1,814.70x = 2,502.92 × 1,256.11
  4. Step 4: Simplify right side
    1,814.70x = 3,143,932.66
  5. Step 5: Solve for x
    x = 3,143,932.66/1,814.70
  6. Step 6: Final answer
    x = 1,732.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.